Borel-Wadge degrees

Alessandro Andretta, and Donald A. Martin. "Borel-Wadge degrees." Fundamenta Mathematicae 177.2 (2003): 175-192. <http://eudml.org/doc/283071>.

@article{AlessandroAndretta2003,
abstract = {Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel-Wadge degree is a collection of pairwise Borel equivalent subsets of ℝ. In this note we investigate the structure of Borel-Wadge degrees under the assumption of the Axiom of Determinacy.},
author = {Alessandro Andretta, Donald A. Martin},
journal = {Fundamenta Mathematicae},
keywords = {determinacy; Wadge hierarchy; Borel-Wadge degree},
language = {eng},
number = {2},
pages = {175-192},
title = {Borel-Wadge degrees},
url = {http://eudml.org/doc/283071},
volume = {177},
year = {2003},
}

TY - JOUR
AU - Alessandro Andretta
AU - Donald A. Martin
TI - Borel-Wadge degrees
JO - Fundamenta Mathematicae
PY - 2003
VL - 177
IS - 2
SP - 175
EP - 192
AB - Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel-Wadge degree is a collection of pairwise Borel equivalent subsets of ℝ. In this note we investigate the structure of Borel-Wadge degrees under the assumption of the Axiom of Determinacy.
LA - eng
KW - determinacy; Wadge hierarchy; Borel-Wadge degree
UR - http://eudml.org/doc/283071
ER -